Challenges of low-dimensional dynamics in hybrid neuron models. - Project - Bridge of Knowledge

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Challenges of low-dimensional dynamics in hybrid neuron models.

The aim of the project is to apply and extend quite recent results from low-dimensional dynamical systems (including rotation theory and topological invariants) in the analysis of the complex dynamics of some models of nerve cell activity, and to a lesser extent also in a particular models of magnetic flux tubes. The project will contribute to the internationalization of scientific research at GUT (some tasks in the project are implemented in international cooperation), as well as to the scientific development of the university (research results will be submitted for publication in leading scientific journals).

Details

Financial Program Name:
SONATA
Organization:
Narodowe Centrum Nauki (NCN) (National Science Centre)
Agreement:
UMO-2019/35/D/ST1/02253 z dnia 2020-06-25
Realisation period:
2020-06-25 - 2024-06-24
Project manager:
dr inż. Justyna Signerska-Rynkowska
Team members:
Realised in:
Zakład Równań Różniczkowych i Zastosowań Matematyki
Project's value:
258 360.00 PLN
Request type:
National Research Programmes
Domestic:
Domestic project
Verified by:
Gdańsk University of Technology

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Year 2023

Year 2022

  • Curlicues generated by circle homeomorphisms
    Publication

    We investigate the curves in the complex plane which are generated by sequences of real numbers being the lifts of the points on the orbit of an orientation preserving circle homeomorphism. Geometrical properties of these curves such as boundedness, superficiality, local discrete radius of curvature are linked with dynamical properties of the circle homeomorphism which generates them: rotation number and its continued fraction...

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